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Finding the Third Proportional to 4,078,298,712 and 6,297,607,005

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Solution

The third proportional to 4,078,298,712 and 6,297,607,005 is: 9,724,607,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078,298,712 : 6,297,607,005 = 6,297,607,005 : x
  2. Step 2: Convert to fraction form
    4,078,298,712/6,297,607,005 = 6,297,607,005/x
  3. Step 3: Cross multiply
    4,078,298,712x = 6,297,607,005 × 6,297,607,005
  4. Step 4: Simplify right side
    4,078,298,712x = 39,659,853,989,425,070,080
  5. Step 5: Solve for x
    x = 39,659,853,989,425,070,080/4,078,298,712
  6. Step 6: Final answer
    x = 9,724,607,438.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.